Survival analysis
Nelson-Aalen Cumulative Hazard Estimator
The Nelson-Aalen estimator is a non-parametric estimator of the cumulative hazard function from right-censored time-to-event data. Developed by Wayne Nelson for reliability hazard plotting in 1972 and placed on a rigorous counting-process foundation by Odd Aalen in 1978, it accumulates the ratio of observed events to the number at risk at each event time, providing the natural hazard-scale companion to the Kaplan-Meier survival curve.
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Sources
- Nelson, W. (1972). Theory and applications of hazard plotting for censored failure data. Technometrics, 14(4), 945–966. DOI: 10.1080/00401706.1972.10488991 ↗
- Aalen, O. (1978). Nonparametric inference for a family of counting processes. Annals of Statistics, 6(4), 701–726. DOI: 10.1214/aos/1176344247 ↗